河北北方学院学报:自然科学版
河北北方學院學報:自然科學版
하북북방학원학보:자연과학판
Journa of Hebei North University:Natural Science Edition
2012年
1期
21-25
,共5页
耦合神经网络%变耦合时滞%脉冲%全局渐近同步
耦閤神經網絡%變耦閤時滯%脈遲%全跼漸近同步
우합신경망락%변우합시체%맥충%전국점근동보
coupled neural networks%time-varying delayed coupling%impulse%global asymptoticallysynchronization
主要讨论一类带脉冲的变耦合时滞神经网络的同步问题,通过构造Lyapunov-Krasovskii泛函,运用线性矩阵不等式(LMI)技术并结合Kronecker积来获得耦合神经网络全局同步的充分性判据,并且所获得的判据依赖于时滞,由于这样得到的判据是LMI形式,因此,可以由数学软件MATLAB的LMI工具箱对所获得的判据进行有效的验证,同时,对细胞激活函数做了更为一般的假设,从而使结论在LMI下可以减少保守性。
主要討論一類帶脈遲的變耦閤時滯神經網絡的同步問題,通過構造Lyapunov-Krasovskii汎函,運用線性矩陣不等式(LMI)技術併結閤Kronecker積來穫得耦閤神經網絡全跼同步的充分性判據,併且所穫得的判據依賴于時滯,由于這樣得到的判據是LMI形式,因此,可以由數學軟件MATLAB的LMI工具箱對所穫得的判據進行有效的驗證,同時,對細胞激活函數做瞭更為一般的假設,從而使結論在LMI下可以減少保守性。
주요토론일류대맥충적변우합시체신경망락적동보문제,통과구조Lyapunov-Krasovskii범함,운용선성구진불등식(LMI)기술병결합Kronecker적래획득우합신경망락전국동보적충분성판거,병차소획득적판거의뢰우시체,유우저양득도적판거시LMI형식,인차,가이유수학연건MATLAB적LMI공구상대소획득적판거진행유효적험증,동시,대세포격활함수주료경위일반적가설,종이사결론재LMI하가이감소보수성。
This paper discusses an array of coupled Neural Networks with impulse and time-varying delayed coupling. By employing Lyapunov-Krasovskii functional and conducting a linear matrix inequality (LMI) approach, Kronecker product is developed to derive the criteria for the synchronization, which can be readily checked by using some standard numerical packages such as the MATLAB LMI Toolbox. Furthermore, the description of the activation functions is more general then the Lipschitz conditions. And the criteria of synchronization are therefore less conservative.